An Iwatsubo-Based Solution for Labyrinth Seals: Comparison to Experimental Results
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The basic equations are derived for compressible flow in a labyrinth seal. The flow is assumed to be completely turbulent in the circumferential direction where the friction factor is determined by the Blasius relation. Linearized zero-th and first-order perturbation equations are developed for a small motion about a centered position by an expansion in the eccentricity ratio. The zero-th-order pressure distribution is found by satisfying the leakage equation while the circumferenital velocity distribution is determined by satisfying the momentum equation. The first-order equations are solved by a separation of variable solution.
author list (cited authors)
Childs, D. W., & Scharrer, J. K.